How do i simplify this

Mathematics

1 answer:

Anna71 [15]2 years ago

6 0

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{3^4}{3^6} \right)^2\implies \left( \cfrac{3^{4\cdot 2}}{3^{6\cdot 2}} \right)\implies \cfrac{3^8}{3^{12}}\implies \cfrac{1}{3^{12}\cdot 3^{-8}}\implies \cfrac{1}{3^{12-8}}\implies \cfrac{1}{3^4}\implies \cfrac{1}{81}$

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Delvig [45]

Answer:

3 pints

Step-by-step explanation:

1 1/2 as a decimal is 1.5

1 quart = 2 pints

1.5 x 2 = 3 pints,

hope i helped you!

6 0

2 years ago

Read 2 more answers

Can anyone tell me the steps to finding the volume of a cone?

marysya [2.9K]

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2 years ago

What is the other endpoint if one endpoint is (10,12) and the midpoint is (6,9).?

Lubov Fominskaja [6]

Answer:

$(2,\, 6)$ .

Step-by-step explanation:

Let $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ denote the two endpoints.

The formula for the midpoint of these two points would be:

$\displaystyle \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)$ .

(Similar to taking the average of each coordinate.)

In this question, it is given that $x_{0} = 10$ whereas $y_{0} = 12$ . Substitute these two values into the expression for the coordinate of the midpoint: